CIVILIAN MISSION 2 - CONTRACT RACE SCREENSHOTS
The screenshot below shows a good setup for the beginning of the Contract Race mission. Place 2 or 3 automatic lasers near the top edge of the map, as close as you can get to the competing base. Put them down as soon as the mission starts and make sure argon is available to prime them. Then they can start shooting at the competitors' structures before they can get argon to their own lasers.
Once you've taken out the competition's first titanium extractor and the lasers nearby, place a few more of your own lasers a bit closer to the other base, as shown below. These should destroy the second, and possibly third, completing titanium rigs.